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12. luis makes 3 free throws out of every 7 shots. how many free throws…

Question

  1. luis makes 3 free throws out of every 7 shots. how many free throws will he make if he shoots 21 times?

(a) if your answer is 6 color the eyes blue.
(b) if your answer is 9 color the eyes green.

  1. find the unit rate.

240 miles in 8 days
(a) if your answer is 40 miles/day color the sign in the left claw orange.
(b) if your answer is 30 miles/day color the sign in the left claw purple.

  1. which is the better buy?

store a: $1.50 for 5 oz
store b: $1.20 for 3 oz
(a) if your answer is store a color the top ½ of the ocean blue.
(b) if your answer is store b color the top ½ of the ocean grey.
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Explanation:

Response
Question 12

Step1: Find the ratio of free throws

The ratio of free throws made is $\frac{3}{7}$ (3 made out of 7 shots).

Step2: Calculate for 21 shots

Let $x$ be the number of made free throws. We set up the proportion $\frac{3}{7}=\frac{x}{21}$. Cross - multiply: $7x = 3\times21$. Then $7x=63$, and $x = \frac{63}{7}=9$.

Step1: Recall the unit rate formula

Unit rate is total distance divided by total time. The formula is $\text{Unit Rate}=\frac{\text{Distance}}{\text{Time}}$.

Step2: Calculate the unit rate

We have a distance of 240 miles and a time of 8 days. So, $\text{Unit Rate}=\frac{240}{8}=30$ miles per day.

Step1: Calculate unit price for Store A

The unit price (price per ounce) for Store A is calculated by dividing the total price by the number of ounces. For Store A, the price is $\$1.50$ for 5 oz. So, unit price $=\frac{1.50}{5}=0.30$ dollars per ounce.

Step2: Calculate unit price for Store B

For Store B, the price is $\$1.20$ for 3 oz. So, unit price $=\frac{1.20}{3} = 0.40$ dollars per ounce.

Step3: Compare the unit prices

Since $0.30<0.40$, Store A has a lower unit price, so it is a better buy.

Answer:

(b) If your answer is 9 color the eyes green.

Question 15